摘要
研究了一类不确定线性时滞切换系统的鲁棒性能。系统不仅状态矩阵带有参数不确定性,而且状态时滞矩阵也带有参数不确定性。根据李亚普诺夫稳定性理论,利用线性矩阵不等式和凸组合条件,给出了该切换系统渐近稳定的充分条件和性能指标,并给出了切换律。最后使用MATLAB的仿真结果表明此方法的正确有效性。
The problem of robust performance for a class of uncertain switched systems with time-delay is considered.The systems contain uncertainties not only in the state matrix,but also in state time-delay matrix.Basing on Lyapunov stability theory,a sufficient condition that makes the switched systems asymptotically stable and satisfies the certain performance index is derived by the method of LMI and the condition of convex combination.The switching strategy is also designed.The simulation using matlab shows the validity of the result.
出处
《计算机与数字工程》
2007年第4期72-74,共3页
Computer & Digital Engineering